The ratio of the sum of the measures of the interior angles to the sum of the measures of the exterior angles in a regular polygon is 7. How many sides does the polygon have?
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Answer: Let the polygon has x sides.
Sum of all exterior angles= 360
Each exterior angle = 360/x
Each Interior angle = 180 - 360/x
Sum of all interior angles = x*( 180-360/x)
= 180x -360
Given:( 180x-360)/360 = 7
So, x = 8*360/180 = 16
Step-by-step explanation:
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